“…Binary-state fuzzy reliability has been adopted in factories to quantify uncertain attributes such as production rate (Pan and Yang, 2008), process failure (G€ orkemli and Kapan Ulusoy, 2010), machine failure (G€ orkemli and Kapan Ulusoy, 2010;Erozan, 2011;Azadeh et al, 2014), quality feature (Jenab and Ahi, 2010), and demand (Pan and Yang, 2008; Kazemia et al, 2013;Paul et al, 2014). However, to model a component by binary-state may not accurately represent the possible states in several real-world systems (Chen and Bao, 2013) such as production , computer (Lin and Huang, 2013), and electrical power (Lin and Yeh, 2011) systems.…”